When a gas filled in a closed vessel is heated through 1°C, its press

1.	When a gas filled in a closed vessel is heated through 1°C, its pressure increases by 0.4% what is the initial temperature of the gas?
Answer» Initial pressure P₁ = P Final pressure P₂ = P + \(\frac{0.4P}{100}\) T₁ = T, T₂ = T + 1 At constant volume \(\frac{P_2}{P_1}\) = \(\frac{T_2}{T_1}\) \(\frac{P(1+ 0.004)}{P}\) = \(\frac{T - 1}{T}\) PT + 0.004 PT = PT + P 0.004PT = P ∴ T = \(\frac{1}{0.004}\) = 250 K ∴ Initial Temperature of the gas = 250 K

When a gas filled in a closed vessel is heated through 1°C, its pressure increases by 0.4% what is the initial temperature of the gas?

Answer»

Initial pressure P₁ = P

Final pressure P₂ = P + \(\frac{0.4P}{100}\)

T₁ = T, T₂ = T + 1

At constant volume \(\frac{P_2}{P_1}\) = \(\frac{T_2}{T_1}\)

\(\frac{P(1+ 0.004)}{P}\) = \(\frac{T - 1}{T}\)

PT + 0.004 PT = PT + P

0.004PT = P

∴ T = \(\frac{1}{0.004}\)

= 250 K

∴ Initial Temperature of the gas = 250 K